{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f1b2fa9b",
   "metadata": {},
   "source": [
    "# 扬声器交叉滤波器\n",
    "这个例子展示了如何设计一个简单的数字三向扬声器模型.该系统将音频输入分为低频、中频段和高频，分别对应于低音炮、中程驱动器和高音器。划分带的标准化交叉频率的典型值是0.136πRAD/样本和0.317πRAD/样本。\n",
    "创建低通、带通和高通滤波器以产生低频、中频和高频频带.指定频率。\n",
    "为每个过滤器使用6阶Chebyshev I型设计。指定一个1dB的通带波纹，大于实际扬声器的值。这个cheby1功能使带通设计的顺序加倍。通过将带通滤波器的顺序减半，使所有滤波器具有相同的顺序。返回每个滤波器的零点、极点和增益。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "39fdc3d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from scipy.signal import cheby1\n",
    "ord=6\n",
    "rip=1\n",
    "lo=0.136\n",
    "hi=0.317\n",
    "z1,p1,k1=cheby1(ord,rip,lo,'low',analog=False,output='zpk')\n",
    "z2,p2,k2=cheby1(ord/2,rip,[lo,hi],'bandpass',output='zpk')\n",
    "z3,p3,k3=cheby1(ord,rip,hi,'highpass',output='zpk')\n",
    "\n",
    "\n",
    "plt.plot(z1.real,z1.imag,'o',label='Woofer')\n",
    "plt.plot(p1.real,p1.imag,'x')\n",
    "plt.plot(z2.real,z2.imag,'o',label='Midrande')\n",
    "plt.plot(p2.real,p2.imag,'x')\n",
    "plt.plot(z3.real,z3.imag,'o',label='Tweeter')\n",
    "plt.plot(p3.real,p3.imag,'x')\n",
    "\n",
    "plt.gca().add_patch(plt.Circle((0,0), radius=1, fill=False, alpha=.3))\n",
    "plt.axis('equal')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f5e3c44",
   "metadata": {},
   "source": [
    "低音炮：零z=−1抑制高频。电线杆增强了之间的震级响应。0以及较低的交叉频率。\n",
    "中程：零z=0和z=1抑制高低频率。极点增强了较低和较高交叉频率之间的幅值响应。\n",
    "推特：零z=1抑制低频。极点增强了更高的交叉频率和更高的交叉频率之间的幅值响应。π.\n",
    "绘制单位圆上的震级响应图，以查看不同极点和零点的影响。使用线性单元。将过滤器表示为二阶部分。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a83e0bbe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.signal import cheby1,sosfreqz\n",
    "import numpy as np\n",
    "sw=cheby1(ord,rip,lo,'low',analog=False,output='sos')\n",
    "sm=cheby1(ord/2,rip,[lo,hi],'bandpass',output='sos')\n",
    "st=cheby1(ord,rip,hi,'highpass',output='sos')\n",
    "\n",
    "nf=1024\n",
    "fw,hw=sosfreqz(sw,nf,whole=True)\n",
    "fm,hm=sosfreqz(sm,nf,whole=True)\n",
    "ft,ht=sosfreqz(st,nf,whole=True)\n",
    "\n",
    "fig,ax=plt.subplots(subplot_kw=dict(projection='3d'))\n",
    "plt.plot(np.cos(fw),np.sin(fw),abs(hw))\n",
    "plt.plot(np.cos(fw),np.sin(fw),abs(hm))\n",
    "plt.plot(np.cos(fw),np.sin(fw),abs(ht))\n",
    "plt.ylabel('Imaginary')\n",
    "plt.xlabel('Real')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "92126e28",
   "metadata": {},
   "outputs": [],
   "source": [
    "绘制以分贝为单位的震级响应."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "13b45b97",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda3\\lib\\site-packages\\matplotlib\\cbook\\__init__.py:1298: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n",
      "D:\\Anaconda3\\lib\\site-packages\\matplotlib\\cbook\\__init__.py:1298: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n",
      "D:\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:11: RuntimeWarning: divide by zero encountered in log10\n",
      "  # This is added back by InteractiveShellApp.init_path()\n",
      "D:\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:11: RuntimeWarning: invalid value encountered in multiply\n",
      "  # This is added back by InteractiveShellApp.init_path()\n",
      "D:\\Anaconda3\\lib\\site-packages\\matplotlib\\cbook\\__init__.py:1298: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.signal import freqz\n",
    "b1,a1=cheby1(ord,rip,lo,'low',analog=False,output='ba')\n",
    "b2,a2=cheby1(ord/2,rip,[lo,hi],'bandpass',output='ba')\n",
    "b3,a3=cheby1(ord,rip,hi,'highpass',analog=False,output='ba')\n",
    "w1,h1=freqz(b1,a1)\n",
    "w2,h2=freqz(b2,a2)\n",
    "w3,h3=freqz(b3,a3)\n",
    "\n",
    "plt.plot(w1/np.pi,20*np.log10(h1),label='Woofer')\n",
    "plt.plot(w2/np.pi,20*np.log10(h2),label='Mid-range')\n",
    "plt.plot(w3/np.pi,20*np.log10(h3),label='Tweeter')\n",
    "plt.legend()\n",
    "plt.ylabel('Magnitude(dB)')\n",
    "plt.xlabel('Normalized Frequency(×$\\pi$ rad/sample)')\n",
    "plt.title('Magnitude Response')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84c748f1",
   "metadata": {},
   "source": [
    "加载一个音频文件，其中包含汉德尔的“哈利路亚合唱团”的片段，采样频率为8192赫兹。通过滤波将信号分成三个频带并画出。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "087468e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.io import loadmat\n",
    "from scipy.signal import sosfilt\n",
    "m=loadmat(\"handle.mat\")\n",
    "Y=m['y']\n",
    "Fs=8192\n",
    "yw=sosfilt(sw,Y)\n",
    "ym=sosfilt(sm,Y)\n",
    "yt=sosfilt(st,Y)\n",
    "\n",
    "plt.plot(np.arange(0,len(Y)/Fs,1/Fs),yw)\n",
    "plt.plot(np.arange(0,len(Y)/Fs,1/Fs),yt)\n",
    "plt.plot(np.arange(0,len(Y)/Fs,1/Fs),ym)\n",
    "plt.xlabel('Time(s)')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
